Chapter 6, Problem 15RE

8) Use the IBP Method to evaluate the integral (show work)

53) Rewrite the integral (-151)(x²51)(051-y) f(x,y,z) dzdydx

I hope my tutor can give me an accurate answer

Use the Fundamental Theorem of Calculus to give alternative proofs of the integration facts shown in Exercises 72–76. You may assume that all functions here are integrable. 72. cdx = c(b – a) 73. x dx = 1 x² dx (b³ – a®) kf (x) dx = k | f(x) dx 74. 75. | (f(«) +g(x)) dx = | f(x) dx + g(x) dx 76.

Prove that f(x)=x^3+x-1 has a root in the interval [0,2]

What would be an example of a function that is not integrable on [2, 10] and why is it not integrable?

3

ISWS 4dx5x+ 4)f Explain your answer. Choose the correct answer below, and, if necessary, fill in the answer box to complete your choice. because 5x+4 is written as (5x+ 4) B No. 5x + 4 dx= because 5x+ 4) is the result of differentiation, not integration, and an indefinite integral requires a constant of integration OG No.5x -4 dx=because (5x+ 4) =5, and an indefinite integral requires a constant of integration. OD Yos5x+A ox-6x+4 because 5x + 4 is written as (5x + 4)